Math Easy Solutions | Vector Basics: Vectors, Scalars, Addition, and Scalar Multiplication @mes | Uploaded June 2024 | Updated October 2024, 6 hours ago.
In this video I go over a quick review of the basics of vector algebra, namely the definitions of vectors vs scalars, and their addition or multiplication. A vector is a quantity that has both a magnitude and a direction (such as velocity), while a scalar just has a magnitude (such as temperature). We can add vectors by adding their components, and this is visually seen by placing one vector at the tip of another. Similarly, we can multiply a vector by a scalar by multiplying the scalar into each of the vector's components. Likewise, these basics extend to subtraction as well as vectors in 3D.
Timestamps:
- Question 1: Vector vs Scalar: 0:00
- Question 2: Vector addition: 0:39
- Solution: Adding vectors geometrically using Triangle or Parallelogram Law: 0:49
- Add vectors algebraically by adding components: 2:06
- Question 3: Multiplying vector by a scalar: 3:23
- Solution: Scalar shortens or extends a vector: 3:32
- Multiply a scalar into components of a vector: 4:04
Full video and playlists:
- Full video: youtu.be/VMKb69uDVt0
- HIVE notes: peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-review
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P
- Vectors and the Geometry of Space playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
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In this video I go over a quick review of the basics of vector algebra, namely the definitions of vectors vs scalars, and their addition or multiplication. A vector is a quantity that has both a magnitude and a direction (such as velocity), while a scalar just has a magnitude (such as temperature). We can add vectors by adding their components, and this is visually seen by placing one vector at the tip of another. Similarly, we can multiply a vector by a scalar by multiplying the scalar into each of the vector's components. Likewise, these basics extend to subtraction as well as vectors in 3D.
Timestamps:
- Question 1: Vector vs Scalar: 0:00
- Question 2: Vector addition: 0:39
- Solution: Adding vectors geometrically using Triangle or Parallelogram Law: 0:49
- Add vectors algebraically by adding components: 2:06
- Question 3: Multiplying vector by a scalar: 3:23
- Solution: Scalar shortens or extends a vector: 3:32
- Multiply a scalar into components of a vector: 4:04
Full video and playlists:
- Full video: youtu.be/VMKb69uDVt0
- HIVE notes: peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-review
- Video sections playlist: youtube.com/playlist?list=PLai3U8-WIK0EMiATrjv8HH3fPwKVsgU6P
- Vectors and the Geometry of Space playlist: youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
Become a MES Super Fan! youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
